Finite Group Databasebeta

← Group #340347

Character table — Group #340347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-11-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-111-1-111-1-1-1-11
χ10111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111-111-111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111-111-1-1-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-111-1-11
χ172222222222-2-22-2-22-2-20000002222-2-222000000-2-2000000-2000000000000
χ182222222222-2-22-2-22-2-200000022-2-2-2-2-2-2000000220000002000000000000
χ192222222222-2-22-2-22-2-2000000-2-22222-2-200000022000000-2000000000000
χ202222222222-2-22-2-22-2-2000000-2-2-2-22222000000-2-20000002000000000000
χ2122222222-2-222-222-2-2-222222200000000-2-200000000002-20-200000000000
χ2222222222-2-222-222-2-2-22222-2-200000000-2-20000000000-220200000000000
χ2322222222-2-222-222-2-2-2-2-2-2-22200000000220000000000-2-20200000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2-2-200000000220000000000220-200000000000
χ252-2222-2-2-22-200-20020022−2−200002i−2i2i−2i002−2i2i2−i2−i22-222−2−2000000i2−i20000000
χ262-2222-2-2-22-200-20020022−2−200002i−2i−2i2i002−2−i2−i2i2i2-22−2−222000000i2−i20000000
χ272-2222-2-2-22-200-20020022−2−20000−2i2i2i−2i002−2i2i2−i2−i2-22−2−222000000−i2i20000000
χ282-2222-2-2-22-200-20020022−2−20000−2i2i−2i2i002−2−i2−i2i2i22-222−2−2000000−i2i20000000
χ292-2222-2-2-22-200-200200−2−22200002i−2i2i−2i00−22−i2−i2i2i22-2−2−222000000−i2i20000000
χ302-2222-2-2-22-200-200200−2−22200002i−2i−2i2i00−22i2i2−i2−i2-2222−2−2000000−i2i20000000
χ312-2222-2-2-22-200-200200−2−2220000−2i2i2i−2i00−22−i2−i2i2i2-2222−2−2000000i2−i20000000
χ322-2222-2-2-22-200-200200−2−2220000−2i2i−2i2i00−22i2i2−i2−i22-2−2−222000000i2−i20000000
χ332-2-2-222-22-2-2-2-222222-200000000000000002-22-200000000002-200002-2000
χ342-2-2-222-22-2-2-2-222222-200000000000000002-22-20000000000-220000-22000
χ352-2-2-222-22-2-2-2-222222-20000000000000000-22-2200000000002-20000-22000
χ362-2-2-222-22-2-2-2-222222-20000000000000000-22-220000000000-2200002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4004-404-400000004-400000000000000000000000000000000000
χ39444-4-44-4-4004-404-40000000-4400000000000000000000000000000000000
χ40444-4-44-4-400-440-44000000000000000000000000000000000000022−2200000
χ41444-4-44-4-400-440-440000000000000000000000000000000000000−222200000
χ4244-44-4-4-4400000000002i2−2i22i2−2i20000000022−22000000002i−2i2i−2i000000000000000
χ4344-44-4-4-4400000000002i2−2i22i2−2i200000000−222200000000−2i2i−2i2i000000000000000
χ4444-44-4-4-440000000000−2i22i2−2i22i20000000022−2200000000−2i2i−2i2i000000000000000
χ4544-44-4-4-440000000000−2i22i2−2i22i200000000−2222000000002i−2i2i−2i000000000000000
χ4644-4-44-44-44-400400-4000000004-4000000000000000000000000000000000
χ4744-4-44-44-44-400400-400000000-44000000000000000000000000000000000
χ4844-4-44-44-4-4400-40040000000000000000002i2−2i2−2i22i2000000000000000000000
χ4944-4-44-44-4-4400-4004000000000000000000−2i22i22i2−2i2000000000000000000000
χ504-4444-4-4-4-4400400-4002222−22−220000000000−22220000000000000000000000000
χ514-4444-4-4-4-4400400-400−22−222222000000000022−220000000000000000000000000
χ524-4-44-444-4004-40-440004i−4i−4i4i0000000000000000000000000000000000000
χ534-4-44-444-4004-40-44000−4i4i4i−4i0000000000000000000000000000000000000
χ544-4-44-444-400-4404-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ554-4-44-444-400-4404-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-4-4-444-444444-4-4-4-44-400000000000000000000000000000000000000000
χ574-4-4-444-4444-4-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-444-44-4-4444-4-44-4400000000000000000000000000000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).